Darboux transformation and soliton solutions for a three-component modified Korteweg-de Vries equation

DOI10.1016/j.wavemoti.2019.02.003OpenAlexW2915276814MaRDI QIDQ780628

Wurile, Zhaqilao

Publication date: 15 July 2020

Published in: Wave Motion (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.wavemoti.2019.02.003

zbMATH Keywords

Darboux transformationsoliton solutionthree-component mKdV equation

Mathematics Subject Classification ID

Partial differential equations (35-XX) Quantum theory (81-XX)

Related Items (1)

A pair of modified short pulse equations and its two-component system in nonlinear media

Cites Work

• Multiple kink solutions for two coupled integrable (2+1)-dimensional systems
• Darboux transformation and rogue wave solutions for the variable-coefficients coupled Hirota equations
• Interactions of breathers and solitons in the extended Korteweg-de Vries equation
• Solitary wave solutions to the generalized coupled mKdV equation with multi-component
• Using symbolic computation to exactly solve a new coupled MKdV system
• Complexiton solutions to the Korteweg-de Vries equation
• Determinants of matrices over noncommutative rings
• A generalized Hirota-Satsuma coupled Korteweg-de Vries equation and Miura transformations
• A new nonlinear wave equation: Darboux transformation and soliton solutions
• Periodic and rational solutions of the reduced Maxwell-Bloch equations
• A class of doubly periodic waves for nonlinear evolution equations
• A Synthetical Two-Component Model with Peakon Solutions
• DARBOUX TRANSFORMATION AND MULTI-SOLITON SOLUTIONS OF PRINCIPAL CHIRAL AND WZW MODELS
• Quasideterminant multisoliton solutions of a supersymmetric chiral field model in two dimensions
• Darboux transformation of the generalized coupled dispersionless integrable system
• Introduction to Classical Integrable Systems
• An integrable shallow water equation with peaked solitons
• Multi-soliton solutions and the Cauchy problem for a two-component short pulse system
• Rogue waves and W-shaped solitons in the multiple self-induced transparency system
• Korteweg-de Vries Equation and Generalizations. II. Existence of Conservation Laws and Constants of Motion
• A new integrable two-component system with cubic nonlinearity
• Symmetries and differential equations
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Darboux transformation and soliton solutions for a three-component modified Korteweg-de Vries equation